The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?

Answers

Answer 1
35x + 20y = 7620
x+y=276

Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children
Answer 2

Total number of children are 116 and adults are 160.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

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Related Questions

help with number 5 please

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Answer:

60

Step-by-step explanation:

Whoever answers first will get marked Best!A cheetah runs 177 miles in 3 hours,at this rate how many hours will it take to travel 531 miles?

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Answer:

9 hours

Step-by-step explanation:

brainliest plss???

Solve for d.
d^3 + 27 = 0
Write your answers in simplified, rationalized form.

Answers

Answer:

d=-3

Step-by-step explanation:

d3+27=0

Step 1: Subtract 27 from both sides.

d3+27−27=0−27

d3=−27

Step 2: Take cube root.

d=(−27)(

1

3

)

d=−3

Determine the equation for the line that has a slope of -2 and a y intercept of 5

Answers

y = -2x + 5 remember Y = mx(slope) + b (y-int)


Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution

Answers

Answer:

She can make 3 sushi rolls.

Step-by-step explanation:

it's not that hard, but ok

So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.

Please help i need to finish this test in lest than an hour

Answers

Answer:

k

2

2

+

3

k

3

4

Step-by-step explanation:

Which number line best represents the solution to the inequality 7x ≤ 49 ?

Answers

Step-by-step explanation:

uedhhhjdjdhdhdddjjdhvdhddbdbddbb

Answer:

A

Step-by-step explanation:

im not 100 % sure hope i am correct

Plz help me I need help I can not
Figure this out







Answers

Answer:

Step-by-step explanation:

Area of two parallelograms = 3⅐ = 22/7

Area of one parallelogram = 11/7

Height = 1 2/7 = 9/7

base of one parallelogram = (11/7)/(9/7) = 11/9 yards

Answer:

b = 11/9 = 1 2/9

Step-by-step explanation:

A=bh

1.2(3 1/7)=b(1 2/7)

(1/2(22/7))/9/7=b

(11/7)/9/7=b

11/7x7/9=b

11/9=b

b= 1 2/9

Alonso purchases a kayak for $2100. The sales tax is 7% of the cost of the kayak.
Find the total cost, including tax, of Alonso’s purchase.

Answers

Answer:

$2247

Step-by-step explanation:

2100+(2100*7/100)= 2100+147=2247

The table shows the average distance in yards of the tee shots of several professional golfers and their accuracy as percentages of landing golf ball in the fairway. what does the correlation coefficient for the data indicate about the strength of the linear association between the average distance of a tee shots in the accuracy of the golf ball landing in the fairway ?

Answers

Answer: strong negative correlation

Step-by-step explanation:

Taking the test

Solve for x.
5
10
12
13

Answers

Answer: B)  4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why choice B is the answer.

Side note: 25/6 = 4.167 approximately

correct answer is b

three million four hundred
ninety-three thousand
Word form

Answers

Answer:

You are correct, the number 3,493,000 is written in word form in your question.

Step-by-step explanation:

The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn

Answers

Answer:

$245

Step-by-step explanation:

Answer: $245

Step-by-step explanation:

$35 / 1/2=x / 3 1/2

Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.

35*2=x / 3*2+1/2

Multiply 35 and 2 to get 70.

70=x / 3*2+1/2

Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.

70=x*2/3*2+1

Multiply 3 and 2 to get 6.

70=x*2/6+1

Add 6 and 1 to get 7.

70=x*2/7

Swap sides so that all variable terms are on the left-hand side.

x*2/7=70

Multiply both sides by 7.

x*2=70*7

Multiply 70 and 7 to get 490.

x*2=490

Divide both sides by 2.

x=490/2

Divide 490 by 2 to get 245.

x=245

The Murphin Company has 2,342 employees and the Galdstock Company has 1,750 employees. How many fewer people work at the Galdstock Company than at the Murphin Company?​

Answers

Answer:

592

Step-by-step explanation:

This is a subtraction problem.

2,342 - 1,750 = 592

Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
([?], [ ]

Answers

Answer:

Step-by-step explanation:

To eliminate the x terms, first multiply the second equation by 3:

-3x + 6y = 24

then add it to the first equation:

3x + 5y = -2

-3x + 6y = 24

------------------

0x + 11y = 22

y = 2

plug the value of y into one of the equations:

-x + 2(2) = 8

x = 4-8 = -4

(x,y) = (-4, 2)

Solve and graph the inequality.

−x4−6≥−8

Answers

Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°. Find the length of h, to the nearest inch.

Answers

Answer:

143

Step-by-step explanation:

delta math

The  length of h, to the nearest inch. is 57.4 inch.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, given that,

In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°

Now. we know that,

a sinA =b sinB =c sinC

We get,

length of h = 57.4 inch.

hence, The  length of h, to the nearest inch. is 57.4 inch.

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can you help me please ​

Answers

Answer:

your answer will be 3.8928

Step-by-step explanation:

have a nice day bye ^_^

3.89 is the right answer believe me or not

I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem
17 years ago I was half the age I am now how old am I
this question is 100 points

Answers

Answer:

You are 34 years old

Step-by-step explanation:

Because, 34-17=17

17 is half of 34.

2x+20=y

y-17=0.5y

+17    +17

y=0.5y+17

2(0.5y+17)+20=0.5y+17

y+34+20=0.5y+17

y+54=0.5y+17

y=34

Answer:

Step-by-step explanation:

x= "I" age

x is 20 years older than x's daughter's age.

To find out daughter's age = 17x2 (34)

34-20 = 14

The daughter is 14.

A tissue box has a base of 36 in2 ? and is 5 inches tall. What is the volume of the tissue box?

Answers

Answer:

180 [tex]in^{2}[/tex]

Step-by-step explanation:

36 times 5 = 180

Answer: the value is 90

Step-by-step explanation:

What equation can be written for 29 is 6 more then k? what is K?

Answers

Answer:

k = 23

Step-by-step explanation:

Grace created the net worth statement shown.
Based on the information in the statement, what is
Grace's net worth?
Net Worth Statement
- $46,600
Assets
Value
House (current value)
$125,000
® - $94,000
Investments
$12,000
Savings account
$3,600
$46,600
Total Assets
$140,600
D$234,600
Liabilities
Credit card debt
$7,500
Mortgage
$86,500
Total Liabilities
$94,000

Answers

Answer: 46,600

Step-by-step explanation:

working conditions in the United States in the early 1900's can best be described as?
a. beneficial
b.atroious
c. rewarding
d. simple ​

Answers

Working conditions in the United States in the early 1900’s can best be described as atrocious.

Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has 3 g of carbohydrates per ounce and watermelon has 2 g of carbohydrates per ounce. Write and graph an equation to model this situation.

Answers

Answer:

3x+2y=24

Step-by-step explanation:

I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.

2y=24 and 3x=24, so x=8 and y=12.  Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!

Evaluate the following expressions: (2×3)2-52

Answers

-40 i believe

I hope is right!!!!

Find the value of the expression a--b* for a = 2 and b= 1

Answers

Answer:

3

Step-by-step explanation:

Given the expression a --b

Given that

a = 2

b = 1

Substitute into the expression

a--b

= 2 --1

= 2 - (-1)

= 2 + 1

= 3

Hence the required value is 3

Can someone please help

Answers

The answer is the 3rd option.

I think it might be the 3rd one because consecutive interior angles add up to 180 degrees

Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.

Answers

Answer:

Variable x = cost of cookies

Variable y = cost of brownies

System of equations:

2x + 3y = 9.50

10x + 6y = 20.50

Step-by-step explanation:

Variable x: $ cookies

Variable y: $ brownies

2x + 3y = 9.50

10x + 6y = 20.50

I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.

The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? 
A f(x)=-2x^4
B f(x)2x^4
C F(x)=-1/2x^4
D f(x)=1/2x^4
( NEED HELP ASAP PLZ)

Answers

A!!!!!!!!!!!!!!!!!!!

2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.​

Answers

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7

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